What is the Greatest Common Factor of 83064 and 83073?

Greatest common factor (GCF) of 83064 and 83073 is 3.

GCF(83064,83073) = 3

We will now calculate the prime factors of 83064 and 83073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83064 and 83073.

How to find the GCF of 83064 and 83073?

We will first find the prime factorization of 83064 and 83073. After we will calculate the factors of 83064 and 83073 and find the biggest common factor number .

Step-1: Prime Factorization of 83064

Prime factors of 83064 are 2, 3, 3461. Prime factorization of 83064 in exponential form is:

83064 = 2³ × 3¹ × 3461¹

Step-2: Prime Factorization of 83073

Prime factors of 83073 are 3, 27691. Prime factorization of 83073 in exponential form is:

83073 = 3¹ × 27691¹

Step-3: Factors of 83064

List of positive integer factors of 83064 that divides 83064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3461, 6922, 10383, 13844, 20766, 27688, 41532

Step-4: Factors of 83073

List of positive integer factors of 83073 that divides 83064 without a remainder.

1, 3, 27691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83064 and 83073. The biggest common factor number is the GCF number.
So the greatest common factor 83064 and 83073 is 3.

Also check out the Least Common Multiple of 83064 and 83073